@ARTICLE{Abdelhak_A._Model_2019, author={Abdelhak, A. and Rachik, M.}, volume={vol. 29}, number={No 1}, journal={Archives of Control Sciences}, pages={41-55}, howpublished={online}, year={2019}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={Given a linear discrete system with initial state x0 and output function yi , we investigate a low dimensional linear systemthat produces, with a tolerance index ǫ, the same output function when the initial state belongs to a specified set, called ǫ-admissible set, that we characterize by a finite number of inequalities. We also give an algorithm which allows us to determine an ǫ-admissible set.}, type={Article}, title={Model reduction problem of linear discrete systems: Admissibles initial states}, URL={http://www.czasopisma.pan.pl/Content/111267/PDF/03_art_ACS-2019-1_INTERNET.pdf}, doi={10.24425/acs.2019.127522}, keywords={linear discrete systems, model order reduction}, }